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含字母参数的对数方程 常常富于思考性,是启迪思 维和训练能力的好题型.本 文拟就一道习题为例来分析 和总结求解策略,以供参考. 题目:当a是非负实数 时,若关于x的方程2log2(x + a)= 1+ log2x有且仅有 一个实数解,求a的值. 常规对数方程可先化为
Logarithmic equations with letter parameters are often rich in thinking and are good questions for enlightening thinking and training abilities. This article will take an exercise as an example to analyze and summarize the solution strategy for reference. Title: When a is a nonnegative real number, if the equation 2log2(x + a) = 1 + log2x for x has only one real solution, find the value of a. The conventional logarithm equation can be converted into